A feed of a distillation column contains 40 mol% of n-pentane and 60 mol% of n-hexane will be separated to recover 92 mol% of n-pentane as distillate at the column condition of 1 atm. The column receives a saturated liquid feed with a flow rate of 1,200 kmol/h. A total condenser is used and reflux is a saturated liquid. Bottoms from the column contains 94 mol% of n-hexane from the feed. The carbon steel column is equipped with carbon steel sieve trays which have efficiency of 43%.
A feed of a distillation column contains 40 mol% of n-pentane and 60 mol% of n-hexane will be separated to recover 92 mol% of n-pentane as distillate at the column condition of 1 atm. The column receives a saturated liquid feed with a flow rate of 1,200 kmol/h. A total condenser is used and reflux is a saturated liquid. Bottoms from the column contains 94 mol% of n-hexane from the feed. The carbon steel column is equipped with carbon steel sieve trays which have efficiency of 43%.
Determine the design specifications of the distillation column using the appropriate heuristics.
Hint: You need to find densities for vapour of distillate by using the chemical engineering principles that you have learnt. Use data in Table 2 and equation below to determine relative volatility of component.
![αi
=
Yi/xi
(1-yi)/(1-x₁)
Table 2: Equilibrium data for n-pentane and n-hexane system at 1 atm.
x = mole fraction of n-pentane in the liquid
y = mole fraction of n-pentane in the vapor
x = 0.00000, y = 0.00000, T(K) = 342.06
x = 0.05000, y = 0.12705, T(K) = 339.40
x = 0.10000, y = 0.23699, T(K) = 336.91
x = 0.15000, y = 0.33263, T(K) = 334.58
x = 0.20000, y = 0.41626, T(K) = 332.39
x = 0.25000, y = 0.48975, T(K) = 330.32
x = 0.30000 , y = 0.55462, T(K) = 328.38
x = 0.35000, y = 0.61214, T(K) = 326.53
x = 0.40000, y = 0.66335, T(K) = 324.79
x = 0.45000, y = 0.70911, T(K) = 323.14
x = 0.50000, y = 0.75016, T(K) = 321.56
x = 0.55000, y = 0.78711, T(K) = 320.07
x = 0.60000, y = 0.82048, T(K) = 318.64
x = 0.65000, y = 0.85070, T(K) = 317.28
x = 0.70000, y = 0.87816, T(K) = 315.97
x = 0.75000, y = 0.90317, T(K) = 314.72
x = 0.80000 , y = 0.92601, T(K) = 313.53
x = 0.85000, y =
x = 0.90000, y =
x = 0.95000, y =
0.94692, T(K) = 312.38
0.96610, T(K) = 311.28
0.98374, T(K) = 310.22
x = 1.00000, y = 1.00000, T(K) = 309.20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F377e5f92-a51f-4603-b799-a60233f873b4%2Fdf213ed4-4cf2-489d-8638-6a3ff7ac5086%2Fc5zvs5t_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Introduction to Chemical Engineering Thermodynami…](https://www.bartleby.com/isbn_cover_images/9781259696527/9781259696527_smallCoverImage.gif)
![Elementary Principles of Chemical Processes, Bind…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
![Elements of Chemical Reaction Engineering (5th Ed…](https://www.bartleby.com/isbn_cover_images/9780133887518/9780133887518_smallCoverImage.gif)
![Introduction to Chemical Engineering Thermodynami…](https://www.bartleby.com/isbn_cover_images/9781259696527/9781259696527_smallCoverImage.gif)
![Elementary Principles of Chemical Processes, Bind…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
![Elements of Chemical Reaction Engineering (5th Ed…](https://www.bartleby.com/isbn_cover_images/9780133887518/9780133887518_smallCoverImage.gif)
![Process Dynamics and Control, 4e](https://www.bartleby.com/isbn_cover_images/9781119285915/9781119285915_smallCoverImage.gif)
![Industrial Plastics: Theory and Applications](https://www.bartleby.com/isbn_cover_images/9781285061238/9781285061238_smallCoverImage.gif)
![Unit Operations of Chemical Engineering](https://www.bartleby.com/isbn_cover_images/9780072848236/9780072848236_smallCoverImage.gif)